Is \(x+2\) a factor of the polynomial \(2x^2 + 4x + 2\)?

Step 1 ：First, write the polynomial as \(2(x^2 + 2x + 1)\)

Step 2 ：Then, factor the expression inside the parentheses as \(2((x+1)^2)\)

Step 3 ：After the factoring, it can be seen that \(x+2\) is not a factor of the polynomial. The factors of the polynomial are 2, \(x+1\), and \(x+1\)